High-order methods for incompressible fluid flow:
High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in comple...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2002
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
9 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBY01 URL des Erstveröffentlichers |
| Zusammenfassung: | High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one-dimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensor-product forms, multi-domain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular attention given to enforcement of incompressibility. Advanced discretizations, implementation issues, and parallel and vector performance are considered in the closing sections. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual applications. Computer scientists, engineers and applied mathematicians interested in developing software for solving flow problems will find this book a valuable reference |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xxvii, 499 pages) |
| ISBN: | 9780511546792 |
| DOI: | 10.1017/CBO9780511546792 |
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| 505 | 8 | 0 | |t Fluid Mechanics and Computation: An Introduction |t Viscous Fluid Flows |t Mass Conservation |t Momentum Equations |t Linear Momentum |t Angular Momentum |t Energy Conservation |t Thermodynamics and Constitutive Equations |t Fluid Flow Equations and Boundary Conditions |t Isothermal Incompressible Flow |t Thermal Convection: The Boussinesq Approximation |t Boundary and Initial Conditions |t Dimensional Analysis and Reduced Equations |t Vorticity Equation |t Simplified Models |t Turbulence and Challenges |t Numerical Simulation |t Hardware Issues |t Software Issues |t Algorithms |t Advantages of High-Order Methods |t Approximation Methods for Elliptic Problems |t Variational Form of Boundary-Value Problems |t Variational Functionals |t Boundary Conditions |t Sobolev Spaces and the Lax-Milgram Theorem |t An Approximation Framework |t Galerkin Approximations |t Collocation Approximation |t Finite-Element Methods |t The h-Version of Finite Elements |t The p-Version of Finite Elements |t Spectral-Element Methods |t Orthogonal Collocation |t Orthogonal Collocation in a Monodomain |t Orthogonal Collocation in a Multidomain |t Error Estimation |t Solution Techniques |t The Conditioning of a Matrix |t Basic Iterative Methods |t Preconditioning Schemes of High-Order Methods |t Iterative Methods Based on Projection |t A Numerical Example |t Parabolic and Hyperbolic Problems |t Time Discretization Schemes |t Linear Multistep Methods |t Predictor-Corrector Methods |t Runge-Kutta Methods |t Splitting Methods |
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Datensatz im Suchindex
| _version_ | 1804176883698368512 |
|---|---|
| any_adam_object | |
| author | Deville, M. O. |
| author_facet | Deville, M. O. |
| author_role | aut |
| author_sort | Deville, M. O. |
| author_variant | m o d mo mod |
| building | Verbundindex |
| bvnumber | BV043941656 |
| classification_rvk | UF 4050 |
| collection | ZDB-20-CBO |
| contents | Fluid Mechanics and Computation: An Introduction Viscous Fluid Flows Mass Conservation Momentum Equations Linear Momentum Angular Momentum Energy Conservation Thermodynamics and Constitutive Equations Fluid Flow Equations and Boundary Conditions Isothermal Incompressible Flow Thermal Convection: The Boussinesq Approximation Boundary and Initial Conditions Dimensional Analysis and Reduced Equations Vorticity Equation Simplified Models Turbulence and Challenges Numerical Simulation Hardware Issues Software Issues Algorithms Advantages of High-Order Methods Approximation Methods for Elliptic Problems Variational Form of Boundary-Value Problems Variational Functionals Boundary Conditions Sobolev Spaces and the Lax-Milgram Theorem An Approximation Framework Galerkin Approximations Collocation Approximation Finite-Element Methods The h-Version of Finite Elements The p-Version of Finite Elements Spectral-Element Methods Orthogonal Collocation Orthogonal Collocation in a Monodomain Orthogonal Collocation in a Multidomain Error Estimation Solution Techniques The Conditioning of a Matrix Basic Iterative Methods Preconditioning Schemes of High-Order Methods Iterative Methods Based on Projection A Numerical Example Parabolic and Hyperbolic Problems Time Discretization Schemes Linear Multistep Methods Predictor-Corrector Methods Runge-Kutta Methods Splitting Methods |
| ctrlnum | (ZDB-20-CBO)CR9780511546792 (OCoLC)849941069 (DE-599)BVBBV043941656 |
| dewey-full | 532/.051 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.051 |
| dewey-search | 532/.051 |
| dewey-sort | 3532 251 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9780511546792 |
| format | Electronic eBook |
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| id | DE-604.BV043941656 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511546792 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350626 |
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| publishDate | 2002 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Deville, M. O. Verfasser aut High-order methods for incompressible fluid flow M.O. Deville, P.F. Fischer, E.H. Mund Cambridge Cambridge University Press 2002 1 online resource (xxvii, 499 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on applied and computational mathematics 9 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Fluid Mechanics and Computation: An Introduction Viscous Fluid Flows Mass Conservation Momentum Equations Linear Momentum Angular Momentum Energy Conservation Thermodynamics and Constitutive Equations Fluid Flow Equations and Boundary Conditions Isothermal Incompressible Flow Thermal Convection: The Boussinesq Approximation Boundary and Initial Conditions Dimensional Analysis and Reduced Equations Vorticity Equation Simplified Models Turbulence and Challenges Numerical Simulation Hardware Issues Software Issues Algorithms Advantages of High-Order Methods Approximation Methods for Elliptic Problems Variational Form of Boundary-Value Problems Variational Functionals Boundary Conditions Sobolev Spaces and the Lax-Milgram Theorem An Approximation Framework Galerkin Approximations Collocation Approximation Finite-Element Methods The h-Version of Finite Elements The p-Version of Finite Elements Spectral-Element Methods Orthogonal Collocation Orthogonal Collocation in a Monodomain Orthogonal Collocation in a Multidomain Error Estimation Solution Techniques The Conditioning of a Matrix Basic Iterative Methods Preconditioning Schemes of High-Order Methods Iterative Methods Based on Projection A Numerical Example Parabolic and Hyperbolic Problems Time Discretization Schemes Linear Multistep Methods Predictor-Corrector Methods Runge-Kutta Methods Splitting Methods High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one-dimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensor-product forms, multi-domain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular attention given to enforcement of incompressibility. Advanced discretizations, implementation issues, and parallel and vector performance are considered in the closing sections. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual applications. Computer scientists, engineers and applied mathematicians interested in developing software for solving flow problems will find this book a valuable reference Fluid dynamics Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Inkompressible Strömung (DE-588)4129759-3 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Inkompressible Strömung (DE-588)4129759-3 s Mathematische Methode (DE-588)4155620-3 s 1\p DE-604 Numerische Strömungssimulation (DE-588)4690080-9 s 2\p DE-604 Fischer, P. F. Sonstige oth Mund, E. H. Sonstige oth Erscheint auch als Druckausgabe 978-0-521-45309-7 https://doi.org/10.1017/CBO9780511546792 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Deville, M. O. High-order methods for incompressible fluid flow Fluid Mechanics and Computation: An Introduction Viscous Fluid Flows Mass Conservation Momentum Equations Linear Momentum Angular Momentum Energy Conservation Thermodynamics and Constitutive Equations Fluid Flow Equations and Boundary Conditions Isothermal Incompressible Flow Thermal Convection: The Boussinesq Approximation Boundary and Initial Conditions Dimensional Analysis and Reduced Equations Vorticity Equation Simplified Models Turbulence and Challenges Numerical Simulation Hardware Issues Software Issues Algorithms Advantages of High-Order Methods Approximation Methods for Elliptic Problems Variational Form of Boundary-Value Problems Variational Functionals Boundary Conditions Sobolev Spaces and the Lax-Milgram Theorem An Approximation Framework Galerkin Approximations Collocation Approximation Finite-Element Methods The h-Version of Finite Elements The p-Version of Finite Elements Spectral-Element Methods Orthogonal Collocation Orthogonal Collocation in a Monodomain Orthogonal Collocation in a Multidomain Error Estimation Solution Techniques The Conditioning of a Matrix Basic Iterative Methods Preconditioning Schemes of High-Order Methods Iterative Methods Based on Projection A Numerical Example Parabolic and Hyperbolic Problems Time Discretization Schemes Linear Multistep Methods Predictor-Corrector Methods Runge-Kutta Methods Splitting Methods Fluid dynamics Numerische Strömungssimulation (DE-588)4690080-9 gnd Inkompressible Strömung (DE-588)4129759-3 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4690080-9 (DE-588)4129759-3 (DE-588)4155620-3 |
| title | High-order methods for incompressible fluid flow |
| title_alt | Fluid Mechanics and Computation: An Introduction Viscous Fluid Flows Mass Conservation Momentum Equations Linear Momentum Angular Momentum Energy Conservation Thermodynamics and Constitutive Equations Fluid Flow Equations and Boundary Conditions Isothermal Incompressible Flow Thermal Convection: The Boussinesq Approximation Boundary and Initial Conditions Dimensional Analysis and Reduced Equations Vorticity Equation Simplified Models Turbulence and Challenges Numerical Simulation Hardware Issues Software Issues Algorithms Advantages of High-Order Methods Approximation Methods for Elliptic Problems Variational Form of Boundary-Value Problems Variational Functionals Boundary Conditions Sobolev Spaces and the Lax-Milgram Theorem An Approximation Framework Galerkin Approximations Collocation Approximation Finite-Element Methods The h-Version of Finite Elements The p-Version of Finite Elements Spectral-Element Methods Orthogonal Collocation Orthogonal Collocation in a Monodomain Orthogonal Collocation in a Multidomain Error Estimation Solution Techniques The Conditioning of a Matrix Basic Iterative Methods Preconditioning Schemes of High-Order Methods Iterative Methods Based on Projection A Numerical Example Parabolic and Hyperbolic Problems Time Discretization Schemes Linear Multistep Methods Predictor-Corrector Methods Runge-Kutta Methods Splitting Methods |
| title_auth | High-order methods for incompressible fluid flow |
| title_exact_search | High-order methods for incompressible fluid flow |
| title_full | High-order methods for incompressible fluid flow M.O. Deville, P.F. Fischer, E.H. Mund |
| title_fullStr | High-order methods for incompressible fluid flow M.O. Deville, P.F. Fischer, E.H. Mund |
| title_full_unstemmed | High-order methods for incompressible fluid flow M.O. Deville, P.F. Fischer, E.H. Mund |
| title_short | High-order methods for incompressible fluid flow |
| title_sort | high order methods for incompressible fluid flow |
| topic | Fluid dynamics Numerische Strömungssimulation (DE-588)4690080-9 gnd Inkompressible Strömung (DE-588)4129759-3 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Fluid dynamics Numerische Strömungssimulation Inkompressible Strömung Mathematische Methode |
| url | https://doi.org/10.1017/CBO9780511546792 |
| work_keys_str_mv | AT devillemo highordermethodsforincompressiblefluidflow AT fischerpf highordermethodsforincompressiblefluidflow AT mundeh highordermethodsforincompressiblefluidflow |